11.6: Surface Area and Volume of Spheres

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Presentation transcript:

11.6: Surface Area and Volume of Spheres

A sphere is the set of all points in 3D space that are equidistant from the center. The radius of the sphere is a line joining the center to any point on the surface of the sphere. A diameter is any line joining two points on the surface of the sphere and passing through the center. If a plane and a sphere intersect as a circle, and that circle has the same center as the sphere, we call it a great circle A great circle divides a sphere into equal halves.

What is the surface area of this sphere?

Earth’s equator is about 24,902 miles long Earth’s equator is about 24,902 miles long. What is the surface area of the earth?

What is the volume of this sphere?

The volume of a sphere is 5000 meters³. What is its surface area?

Find the surface area and volume of the following spheres

Homework Section 11.6, pages 737: 10-12, 17- 20, 23 Honors: Add 27, 30